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Finding the Fourth Proportional to 524,340, 786,512.88 and 130,356

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Solution

The fourth proportional to 524,340, 786,512.88 and 130,356 is: 195,534.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,340 : 786,512.88 = 130,356 : x
  2. Step 2: Convert to fraction form
    524,340/786,512.88 = 130,356/x
  3. Step 3: Cross multiply
    524,340x = 786,512.88 × 130,356
  4. Step 4: Simplify right side
    524,340x = 102,526,672,985.28
  5. Step 5: Solve for x
    x = 102,526,672,985.28/524,340
  6. Step 6: Final answer
    x = 195,534.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.